SYNTHESIS OF A DIGITAL LOW-PASS QUASI-GAUSSIAN FILTER FOR NOISE REDUCTION IN POISSON OBSERVATIONS
V. E. Chinkin1, V. G. Getmanov1,2, I. I. Yashin1,3
1Geophysical Center, Russian Academy of Sciences, Moscow, Russia
2Sсhmidt Institute of Physics of the Earth, Russian Academy of Sciences
3National Research Nuclear University MEPHI, Moscow, Russia
Keywords: Poisson observations, digital filtering, quasi-Gaussian filter, annealing simulation, stochastic search, global minimization
Abstract
The synthesis of a digital low-frequency quasi-Gaussian filter with a finite pulse-transient response, a unity gain at zero frequencies, and non-negative weighting factors is considered. The filter is designed to reduce noise in Poisson observations. A Gaussian function is used for the prototype filter, and an approximation functional is formed. For the synthesis, the stochastic global minimization of this functional with a modified algorithm for simulating "annealing" is used. The quasi-Gaussian filter is investigated using model and experimental Poisson observations, and its efficiency is confirmed.
|
